The ratio of the sides of two similar regular octagons is 5:7. If the measure of each side of the larger octagon is 21 cm, then the measure of each side of the smaller octagon is ________cm.
Answer:
15 centimeters.
Step-by-step explanation:
If the ratio of two sides of similar octagons is 5:7, then the larger octagon has a side length that is 7/5 times the smaller one. If the measure of the side of the larger octagon is 21, then the measure of the smaller one is 5/7 times that, which is 5/7 * 21 = 15 centimeters.
The first term of an AP is p & it's common difference is q. What it's 10th term?
The first term of an AP = p
The common difference = q
We know that
nth term of an AP = a+(n-1)d
10th term = a+(10-1)d = a+9d
t10 = p+9q
Tenth term of the AP is p+9q
also read similar questions: a) The sixth term of an AP is twice the 3rd term and the first term is 3. Find the common difference and the 10th term....
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If the 17th term of an AP exceeds the 10th term by 7, then the common difference is_____
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If Justin raves his Chevy Camaro south down 1-540 for 2560 meters in 60 seconds, what is his velocity?
A store clerk sold 25 Mathematics books and 10 English books for a total of $855. If she had sold 10 Mathematics books and 40 English books, she would have got $135 more. form a pair of linear equations and calculate the price of each book.
Answer:
855+135=990
90x11=990
10x11=110
25x11=275
110+275=385 990+110=1100
385+1100=1485
1485/11=135
the math books was $11 each so all to gether it is $275.
the english books was $65 each so all to gether it is 715.
275+715=990
Step-by-step explanation:
The required price of a Mathematics book is $27 and the price of an English book is $18.
What is the equation model?The equation model is defined as the model of the given situation in the form of an equation using variables and constants.
Let's assume that the price of a Mathematics book is x dollars and the price of an English book is y dollars. Then we can form two equations based on the given information:
Equation 1: 25x + 10y = 855
This equation represents the total amount earned by selling 25 Mathematics books and 10 English books for $855.
Equation 2: 10x + 40y = 990
This equation represents the total amount that would have been earned by selling 10 Mathematics books and 40 English books for $135 more than the original total.
To solve for x and y, we can use elimination or substitution. Let's use elimination:
Multiplying Equation 1 by 4, we get:
100x + 40y = 3420
Now, we can subtract Equation 2 from this equation to eliminate y:
90x = 2430
x = 27
Substituting x = 27 into Equation 1, we can solve for y:
25(27) + 10y = 855
675 + 10y = 855
10y = 180
y = 18
Therefore, the price of a Mathematics book is $27 and the price of an English book is $18.
Learn more about models here:
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#SPJ2
Which expression is equal to “seven more than a number multiplied by 9"?
a. 9(x + 7)
b. 7 + 9x
c. 9x - 7
d. 9 + 7x
Answer:
b
Step-by-step explanation:
a: is not because in the distribution property, the answer would be for a, 9x+63.
b: yes.
c: it's subtracting, not adding. The question states adding
d: 7 is not the one being multiplied in the question, 9 is. Therefore b is right
The explaining is not good but im pretty sure it's b..
460,451,442,...
Find the 37th term.
Find the 37th term.
Answer:
The 37th term is 136.
Step-by-step explanation:
The sequence has a common difference therefore, it is an arithmetic sequence
The formula for arithmetic sequence is
[tex]an = a1 + (n - 1)d[/tex]
where,
an is the nth term,
a1 is the first term,
n is the term number and
d is the common difference
Find the 37th term.
an = a1 + ( n-1 ) d
a37 = 460 + ( 37-1 ) -9
a37 = 460 + ( -324 )
a37 = 136
Put these fractions in order from least to greatest:
Answer:
1/4, 3/8, 2/3
Step-by-step explanation:
3/8 is more than 25% (1/4) but is less than 66% (2/3) making the order 1/4 3/8 2/3.
Answer:
The answer is the 3rd option. (1/4, 3/8, 2/3)
Step-by-step explanation:
All u have to do is find a common denominator for all 3 fractions.
The common denominator in this problem would be 24
So lets convert all the fractions with a denominator of 24.
1/4 = 6/24
3/8 = 9/24
2/3 = 16/24
Since we now converted the fractions with a common denominator, we can deduce the order from least to greatest.
6/24, 9/24, then 16/24
In other words, the answer is the 3rd option. (1/4, 2/8, and 2/4)
Hope this helps! :0
૮ ・ﻌ・ა
2
Which function has a greater rate of change?
Function 1
Function 2
4
3
2
The function whose input x and
output y are related by
1
X+
2
-*x+7
14-3-2-1 1 2 3 4
2
A) Function 1
B) Function 2
C) Neither, they are equal
D) Neither, one is nonlinear
Help me, please? I dont understand these
2a+b+c=9 a+2b+c=8 a+b+2c=11
[tex] \: \: \: \: \: \: [/tex]
# 2a+b+c=9answer
[tex]a = \frac{9}{2} - \frac{1}{2} b - \frac{1}{2} c[/tex]
#a+2b+c=8answer
[tex]a = 8 - 2b - c[/tex]
#a+b+2c=11answer
[tex]a = 11 - b - 2c[/tex]
refer to the attachment for explanationhope it helpsAt the same time of day, a woman who is 78 inches tall casts a 63-inch shadow and her son casts a 21-inch shadow. What is the son's height? *
Answer:
26in
Step-by-step explanation:
The heights of the people in relation to their shadow lengths are proportional.
78in/63in = x/21in
The child's shadow is 1/3 the length of his mom so his height is 1/3 of hers.
78/3 = 26 in
Answer:
The son is 26 inches tall.
Step-by-step explanation:
[tex]\frac{x}{21} = \frac{78}{63}[/tex]
[tex]x= \frac{21x78}{63}[/tex]
21x78= 1638
1638÷63=26
Hope this helps
Sorry if I got it wrong!
Write a number using the following clues:
a multiple of 6
• greater than 30 but less than 90
Answer: The answer is 36(multiple possible answers though).
Marian sells handmade aprons at a local co-op. The wholesale cost of the materials for one apron is $12.99. If she sells the aprons for $25.00, what is the percent of markup? Round to the nearest percent.
Answer:
92%
Step-by-step explanation:
dnc
Help (≧∇≦)b only question 15
Answer: 6 minutes 47.30 seconds is more faster by 4.71 seconds :D
Step-by-step explanation:
in - order to find out the answer, you must subtract ! why ? because in racing events the lowest time is the fastest !
Equation : 6 minutes 52.01 seconds - 6 minutes 47.30 seconds
Answer : 4.71 seconds
good luck on your homework ( also is that a savvas realize book ? 0-0 ) !!
Write the first five terms of the geometric sequence whose first terns 6, and whose common ratio is 3.
The first five terms of the geometric sequence is 6, 18, 54, 162 and 486
Geometric progression is given by:
[tex]nth\ term=ar^{n-1}[/tex]
where a is the first term, r is the common ratio
Given that first term is 6, and common ratio is 3, Hence a = 6, r = 3
[tex]First\ term=6\\\\Second \ term=6(3)^{2-1}=18\\\\Third \ term=6(3)^{3-1}=54\\\\Fourth \ term=6(3)^{4-1}=162\\\\Fifth \ term=6(3)^{5-1}=486[/tex]
The first five terms of the geometric sequence is 6, 18, 54, 162 and 486
Find out more on geometric sequence at: https://brainly.com/question/24355584
EC
What is the Arabic numeral for this Roman numeral?
VII
07
09
08
STUR
Answer:
07
Step-by-step explanation:
Answer:
7
Step-by-step explanation:
V = 5
I = 1
V + I + I = 5 + 1 + 1 = 7
Hope that helps
Given
f(x) = 3x^2+ 2x – 1 and g(x) =4x- 5find (gof)(-2)
Answer:
27
Step-by-step explanation:
yeah-ya......... right?
find the value of n n+150+7+100=200+50+27
Answer:
Step-by-step explanation:
n+150+7+100=200+50+27
n+257 = 277
n = 277 - 257
n = 20
Answer:
20
Step-by-step explanation:
hope it will help goodbye.if there is any other question feel free to ask
In Exercises 12-20, TA=AB=BC and TD= DE = EF
Write an Equation that relates AD and BE.
Based on the midsegment theorem of a triangle, the equation that relates AD and BE is: AD = ½(BE)
Recall:
The midsegment theorem of a triangle states that length of midsegment = ½(the third side of the triangle).Given the image attached below, where, TA=AB=BC and TD= DE = EF, considering ΔTBE:
AD = midsegment of ΔTBEBE = third side of ΔTBETherefore, based on the midsegment theorem of a triangle, the equation that relates AD and BE is: AD = ½(BE)
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The distance between a 16 foot tall flagpole and a 40 foot tall tree is equal to the sum of the lengths of their shadows. If the flagpole casts a 18 foot shadow, find the distance from the flagpole to the tree.
Answer:
The distance from the flagpole to the tree is 27 ft
Step-by-step explanation:
6.
In a decorative figurine shop, it takes of an hour to paint 8
identical ceramic figurines. How long does it take to paint one
figurine? At the same rate, how long would it take to paint 12
figurines?
The time it would take to paint one figurine is 0.125 hour.
The time it would take to paint 8 figurine is 1.5 hours.
The first step is to determine the average rate. Average rate is the total ceramic figurines painted divided by the total time.
Average rate = 8 /1 = 8 figurines / hour
In order to determine how long it would take to paint 8 figurines, divide 12 by the average rate.
1 / 8 = 0.125 hour
In order to determine how long it would take to paint 8 figurines, divide 12 by the average rate.
12 / 8 = 1.5 hours
A similar question was answered here: https://brainly.com/question/11967364
(a) $21,000.00 is to be divided in the ratio 5:7:9 respectively for three siblings Antony, Terry
and Jack. Calculate how much money each sibling will get.
Answer:
See below for answer
Step-by-step explanation:
Set up the equation 5x+7x+9x=2100 and solve for x:
5x+7x+9x=2100
21x=2100
x=100
Now multiply the proportion by 100:
5:7:9 * 100 = 500:700:900
This means that Antony will get $500, Terry will get $700, and Jack will get $900.
Add: (g2 – 4g4 + 5g + 9) + (–3g3 + 3g2 – 6)
Step-by-step explanation:
you can always combine terms with the same base term and exponent.
I always recommend to sort the different categories and sequence them, with the highest exponent first.
(g² - 4g⁴ + 5g + 9) + (-3g³ + 3g² - 6)
-4g⁴ + g² + 5g + 9 - 3g³ + 3g² - 6
-4g⁴ - 3g³ + 4g² + 5g + 3
I always compare this with a merger of two galaxies. there are just a few actual collisions and mergers of individual star systems and bodies. mostly the different bodies just mix together into a new, larger galaxy.
Select the graph of the function f(x) = 4+ 1/x+6
Answer:
F(x) = 4+ 1/x + 6 = 10x + 1
x
Name the triangle described
Answer:
acute angle
Step-by-step explanation:
different angles will produce different "opposite side" lenghts, so the angle has 3 distinct angles and therefore 3 distinct sides, different sides means is an Scalene.
Now, one of the angles is 90° or namely a right-angle, that makes it a Right Scalene Triangle.
Which of the following correctly shows the quotient of 75 divided by 5
Answer:
answer is when u will multiply 5 with 15 then u will got your answer
just kidding answer is 75
so 75 is quotient
but have written which of the following ( in the question)
so where is the options .6(2u) what is the answer
12u
there's no step by step
Caitlin has a cookie recipe that requires 1.25 pounds of sugar how many grams of sugar does she need
Answer:
For this answer, you need to do a conversion from pounds to grams. 1 pound is equal to 453.592 or just 453.6 grams if rounding is allowed. You would need to multiply 1.25 pounds to the 453.6 grams which would equal 566.99 grams or if you are rounding then it is 567 grams.
Your final answer is 567 grams of sugar.
You need to buy bananas at the store, but you realize you only have $2. How many bananas could you buy if they each cost 30 cents?
Answer:
6 bananas
Step-by-step explanation:
2 ÷ 0.30 = 6.6 repeating so 6 bananas
Maybe Audrey waited 6 pounds 14 in ounces at birth convert her weight to ounces
Answer:
110 ounces :))
Step-by-step explanation: